1. Let x = i +4j + 2k and y = i - 3j - k. In this question, write all vectors in i, j, k notation. (a) () Find ||x||. (b) Find 2x + 3y. (c) Find x. y. (d) Find x x y. Answer: Answer: Answer:

Q: (Left nullspace) Add the extra column b and reduce A to echelon form: 1 2 3 b₁ 1 2 3 b₁ [A b] = 4 5…

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Q: ..... A= -1 1 is diagonalizable. Select one: True False

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Q: On the grid below, draw the following vectors: a = −2i+3j b = −4i + 2j c = 5j

A: To draw vectors

Q: Let a = 2 (-) (-3). 1 and b = What is a|²|b²+ la · b|²? -2 be two vectors.

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Q: The nullspace of A = the values of i and j. i= j= -6 9 -3 -4 6 321 can be written as the span of the…

A: Let A be a matrix of order m*n , then  The null space of A is defined as Nul(A)={ x in Rn : Ax=0 } .

Q: Use the vector w= (20, -15) ||w||-19 ||w||-19=

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Q: #1: (a) Find the value of the following product: 1 × 3 × 5 × ... × 69 Hint: Use the colon operator…

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Q: Write the vector equation of the line defined by the following points. (25,17,42)and(-16, 12, 25)

A: Answer is given below :-Explanation:To find the vector equation of the line passing through two…

Q: Find the dot product of a = and b = .

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Q: Find the length of each vector.

A: Solution: Consider the given vectors are  (a) u = 0-20 The length of the vector a→ = a1a2a3  ⇒ ∥a→∥…

Q: The vector result of (ì − 2j +3k) · (−2ī + 2j − 2k) is a. -i + 7j b. -i+j-k d. j+7k e. -i+7k c.…

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Q: PLease don't provide handwritten solution.

A: Step 1: Given that, u=[3,4,−5]v=[0,−6,4] To find w=2u−3v ,we first need to compute the scalar…

Q: a. Write the vector (23,-12, -19) as a linear combination of a₁ = (3, -2, -1), a2 (2, -3, -1) and ã3…

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Q: Consider the following vectors: 3 -3 3 3 2 8 -1 For each of the following vectors, determine whether…

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Q: Find the angle between the vectors and .

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Q: 1. Consider the following vectors: a = 2í +33, 8 = -27+3k, and ở = -37+ 237 Compute the following…

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Q: Find the following dot product. (-19,3) · (16,-6)

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Q: There are 210 grade 12 students enrolled for se quidance department to determine the number 8…

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Q: Find the cross product of the vectors a=⟨2,3,−2⟩ and b=⟨−3,−6,−4⟩. Select one: a. ⟨0,2,−3⟩ b.…

A: a*b = <-24,14,-3> option 'e' is correct

Q: What is the component form of v?

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Q: Let a (6,7, –2) and b = (4, 4, –1) be vectors. Compute the following vectors. A. a + b =( 10 11 -3…

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Q: e) a unit vector perpendicular to both i and i f) the volume of the parallelepiped formed by vectors…

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Q: -4 2 n = (-1, – 2) and D = 4 3 What is D· n? Enter your answer as a vector by filling in the boxes.

A: The vector <a, b> can also be written as ab. Multiply the vector -1-2 and given matrix in the…